We generalize Smirnov’s formula for the elliptic stable envelopes of the Hilbert scheme of points in $\mathbb {C}^2$ to the case of affine type $A$ Nakajima quiver varieties constructed with positive stability condition. We allow for arbitrary choices of polarization and a fairly general choice of chamber. This paper is a companion to the Maple code developed by the author, which implements the formulas described in this paper.

中文翻译：

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仿射 A 型箭袋品种的椭圆稳定包络

我们将 $\mathbb {C}^2$ 中点的希尔伯特方案的椭圆稳定包络的 Smirnov 公式推广到具有正稳定性条件的仿射型 $A$ Nakajima 箭袋品种的情况。我们允许任意选择极化和相当普遍的腔室选择。本文是作者开发的 Maple 代码的伴侣，实现了本文所描述的公式。